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2 years ago

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

Mathematics

1 answer:

lapo4ka [179]2 years ago

7 0

Answer:

h(t) = -5t + 500

Step-by-step explanation:

At time zero, the elevator is at 500 ft.

At time 5 seconds, the elevator is at 475 ft.

The difference in height is -25 ft.

The elevator traveled -25 ft (25 ft down) in 5 seconds, so it travels at a speed of 5 ft per second. Since it is traveling down, its speed is -5 ft/sec.

For each second of travel, it loses 5 ft of height.

h(t) = -5t + 500

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you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equa

Ahat [919]

Answer:

The minimum sample size is 239.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Population standard deviation is equal to 1.5

This means that $\sigma = 1.5$

Margin of error of 0.25

This means that $M = 0.25$

What's the minimum size of the sample?

$M = z\frac{\sigma}{\sqrt{n}}$

$0.25 = 2.575\frac{1.5}{\sqrt{n}}$

$0.25\sqrt{n} = 2.575*1.5$

$\sqrt{n} = \frac{2.575*1.5}{0.25}$

$(\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2$

$n = 238.7$

Rounding up:

The minimum sample size is 239.

4 0

3 years ago

What are the real and complex solutions of the polynomial equation? x^4-41x^2=-400

tankabanditka [31]

<h3>Answer:</h3>

The real solutions are -5, -4, 4, 5. There are no complex solutions.

<h3>Step-by-step explanation:</h3>

The equation ...

... x^4 -41x^2 +400 = 0

can be factored as ...

... (x^2 -16)(x^2 -25) = 0

... (x -4)(x +4)(x -5)(x +5) = 0

So, all roots are real and are ...

... x ∈ {-5, -4, 4, 5}

_____

These are the values of x that make the factors zero.

7 0

4 years ago

We have 4different boxesand 6different objects. We want to distribute the objects into the boxes such that at no box is empty. I

Musya8 [376]

Answer:

Following are the solution to this question:

Step-by-step explanation:

They provide various boxes or various objects. It also wants objects to be distributed into containers, so no container is empty. All we select k objects of r to keep no boxes empty, which (r C k) could be done. All such k artifacts can be placed in k containers, each of them in k! Forms. There will be remaining $(r-k)$ objects. All can be put in any of k boxes. Therefore, these $(r-k)$ objects could in the $k^{(r-k)}$ manner are organized. Consequently, both possible ways to do this are

$=\binom{r}{k} \times k! \times k^{r-k}\\\\=\frac{r! \times k^{r-k}}{(r-k)!}$

Consequently, the number of ways that r objects in k different boxes can be arranged to make no book empty is every possible one

$= \frac{r!k^{r-k}}{(r-k)!}$

5 0

3 years ago

Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to split the chicken between three people how much chicke

Fed [463]

7/30 pound of chicken. Since 7 is not divisible by 3, you will have to express 7/10 as 21/30 as 21 is divisible by 3.
21/30 divided by 3 people is 7/30
Thus each person gets 7/30 pounds of chicken

3 0

3 years ago

Engh

Gennadij [26K]

Answer:

Step-by-step explanation: bc i said

7 0

3 years ago